A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Tipo de documento: | Dissertação |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/108882 |
Resumo: | In this work we review the simple formulas found for MHV amplitudes of gluons and gravitons inside the contexts of super-Yang-Mills with supersymmetry N = 4 and supergravity with supersymmetry N = 8. We then review the prescription proposed by Berkovits and Maldacena [5] which simpli?es the calculation of those amplitudes for gluons inside the context of open superstrings, and which reproduces the correct results for 4 and 5 gluons, besides reducing to the sYM results in the 'alfa linha' = 0 limit, as veri?ed in [5] and [22]. Next, we extend the Berkovits-Maldacena prescription to the closed superstring, using it ?rst to calculate the MHV amplitude for 4 gravitons and verifying the result with the ones found in the literature by usual methods (result already obtained in [8]). As an original contribution to the subject, we will prove that, in the 'alfa linha' = 0 limit, the prescription gives the result of supergravity found by Hodges [17] |
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Repositório Institucional da UNESP |
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2946 |
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A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theoryTeoria de Yang-MillsSupergravidadeTeoria das supercordasIn this work we review the simple formulas found for MHV amplitudes of gluons and gravitons inside the contexts of super-Yang-Mills with supersymmetry N = 4 and supergravity with supersymmetry N = 8. We then review the prescription proposed by Berkovits and Maldacena [5] which simpli?es the calculation of those amplitudes for gluons inside the context of open superstrings, and which reproduces the correct results for 4 and 5 gluons, besides reducing to the sYM results in the 'alfa linha' = 0 limit, as veri?ed in [5] and [22]. Next, we extend the Berkovits-Maldacena prescription to the closed superstring, using it ?rst to calculate the MHV amplitude for 4 gravitons and verifying the result with the ones found in the literature by usual methods (result already obtained in [8]). As an original contribution to the subject, we will prove that, in the 'alfa linha' = 0 limit, the prescription gives the result of supergravity found by Hodges [17]Neste trabalho relembramos as fórmulas simples encontradas para as amplitudes MHV de gluons e gravitons nos contextos de super-Yang-Mills com supersimetria N = 4 e de supergravidade com supersimetria N = 8. A seguir, relembramos a prescrição proposta por Berkovits e Maldacena [5] que facilita o cálculo dessas amplitudes para gluons no contexto de supercordas abertas, e que reproduz os resultados corretos para 4 e 5 gluons além de se reduzir aos resultados de sYM no limite 'alfa linha' = 0, conforme veri?cado em [5] e [22]. Em seguida, estenderemos a prescrição de Berkovits-Maldacena para a supercorda fechada, usando-a primeiramente para calcular a amplitude MHV de 4 gravitons e conferindo o resultado com os encontrados na literatura por métodos usuais (resultado já obtido em [8]). Como contribuição original ao tema, demonstraremos que, no limite 'alfa linha' = 0, a prescrição reproduz o resultado de supergravidade encontrado por Hodges [17]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP: 11/02699-6Universidade Estadual Paulista (Unesp)Berkovits, Nathan Jacob [UNESP]Universidade Estadual Paulista (Unesp)Ursulino, Tiago Pinheiro [UNESP]2014-08-27T14:36:43Z2014-08-27T14:36:43Z2013-08-23info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisiv, 40 f. : il.application/pdfURSULINO, Tiago Pinheiro. A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory. 2013. iv, 40 f. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Física Teórica, 2013.http://hdl.handle.net/11449/108882000775539000775539.pdf33015015001P77565192274317470Alephreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPenginfo:eu-repo/semantics/openAccess2023-12-21T06:20:04Zoai:repositorio.unesp.br:11449/108882Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:53:52.872052Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory |
title |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory |
spellingShingle |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory Ursulino, Tiago Pinheiro [UNESP] Teoria de Yang-Mills Supergravidade Teoria das supercordas |
title_short |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory |
title_full |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory |
title_fullStr |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory |
title_full_unstemmed |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory |
title_sort |
A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory |
author |
Ursulino, Tiago Pinheiro [UNESP] |
author_facet |
Ursulino, Tiago Pinheiro [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Berkovits, Nathan Jacob [UNESP] Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Ursulino, Tiago Pinheiro [UNESP] |
dc.subject.por.fl_str_mv |
Teoria de Yang-Mills Supergravidade Teoria das supercordas |
topic |
Teoria de Yang-Mills Supergravidade Teoria das supercordas |
description |
In this work we review the simple formulas found for MHV amplitudes of gluons and gravitons inside the contexts of super-Yang-Mills with supersymmetry N = 4 and supergravity with supersymmetry N = 8. We then review the prescription proposed by Berkovits and Maldacena [5] which simpli?es the calculation of those amplitudes for gluons inside the context of open superstrings, and which reproduces the correct results for 4 and 5 gluons, besides reducing to the sYM results in the 'alfa linha' = 0 limit, as veri?ed in [5] and [22]. Next, we extend the Berkovits-Maldacena prescription to the closed superstring, using it ?rst to calculate the MHV amplitude for 4 gravitons and verifying the result with the ones found in the literature by usual methods (result already obtained in [8]). As an original contribution to the subject, we will prove that, in the 'alfa linha' = 0 limit, the prescription gives the result of supergravity found by Hodges [17] |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-08-23 2014-08-27T14:36:43Z 2014-08-27T14:36:43Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
URSULINO, Tiago Pinheiro. A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory. 2013. iv, 40 f. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Física Teórica, 2013. http://hdl.handle.net/11449/108882 000775539 000775539.pdf 33015015001P7 7565192274317470 |
identifier_str_mv |
URSULINO, Tiago Pinheiro. A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory. 2013. iv, 40 f. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Física Teórica, 2013. 000775539 000775539.pdf 33015015001P7 7565192274317470 |
url |
http://hdl.handle.net/11449/108882 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
iv, 40 f. : il. application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
publisher.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.source.none.fl_str_mv |
Aleph reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129261658177536 |